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jenyasd209 [6]
3 years ago
10

The first term of an arithmetic sequence is 4 and the tenth term is 67.

Mathematics
1 answer:
serg [7]3 years ago
8 0

Answer:

d = 7

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Give a₁₀ = 67 and a₁ = 4 , then

a₁ + 9d = 67

4 + 9d = 67 ( subtract 4 from both sides )

9d = 63 ( divide both sides by 9 )

d = 7

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